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Finding the Length of a Vector

• The dot product of a vector with itself, (P P), is the square of the length of the vector:

• P P = x2 + y2

• We define the norm of a vector (i.e., its length) to be

• Thus (P P) 0 for all P, with equality if and only if P = 0

• W is called a unit vector if

Geometric Transformations - 09 MAY 95

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